Orbital Question (1 Viewer)

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Find the orbit radius of an earth satellite in a circular orbit if the period if 1d.

I'm at a dead end. So far I have;

r^3 = (GMT^2) / (4(pi)^2)

r^3 = (6.67*10^(-11) * 6*10^(24)) / (4 * pi^2)

and I get

r = 21642

The book says 42.2Mm. I'm only off by a couple of million meters, hahaha.

Where am I going wrong?

You need to use the value of T in seconds for the constants you used to be correct.
Argh!!!! Thud, thud, thud ....

That's the sound of me banging my head against the wall!

Thanks for the quick reply.


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